MathDB
4 consecutive sides of equiangular hexagon have lengths 7, 6, 3, 5 in this order

Source: 2020 Dürer Math Competition Finals Day2 E5 https://artofproblemsolving.com/community/c1622639_2020_

January 7, 2022
equal angleshexagongeometry

Problem Statement

The hexagon ABCDEFABCDEF has all angles equal . We know that four consecutive sides of the hexagon have lengths 7,6,37, 6, 3 and 55 in this order. What is the sum of the lengths of the two remaining sides?